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katovenus [111]
2 years ago
15

The mass of a basket with 25 chocolate bars is 1110g. The mass of the empty basket is 310 g. A. What is the mass of 1 chocolate

bar? b. What is the mass of the basket with 105 chocolate bars?
Mathematics
1 answer:
shusha [124]2 years ago
5 0

Answer:

A. 32 g

B. 3670 g

Step-by-step explanation:

Basket + 25 bars: 1110 g

Basket: 310 g

25 bars: 1110 g - 310 g = 800 g

1 bar: 800 g / 25 = 32 g

105 bars: 105 × 32 g = 3360 g

Basket + 105 bars: 310 g + 3360 g = 3670 g

Answer:

A. 32 g

B. 3670 g

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snow_tiger [21]

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Represent:

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  • The adjacent with b
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(4 + 3b)^2 = (3 + 3b)^2 + b^2

Open brackets

16 + 12b+12b+9b^2 = 9 + 9b+9b+9b^2 +b^2

16 + 24b+9b^2 = 9 + 18b+10b^2

Collect Like Terms

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b^2 - 6b -7 = 0

Expand

b^2 +b-7b-7=0

Factorize:

b(b+1)-7(b+1) =0

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Split:

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So:

b = 7

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Substitute 7 for b in the above expressions

c = 4 + 3 * 7

c = 4 + 21

c = 25

a = 3 + 3 * 7

a = 3 + 21

a = 24

Hence, the dimensions of the triangle are:

Hypotenuse = 25cm

Opposite = 24cm

Adjacent = 7cm

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